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Finding the Fourth Proportional to 204,209.72, 306,002.72 and 85,816.34

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Solution

The fourth proportional to 204,209.72, 306,002.72 and 85,816.34 is: 128,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,209.72 : 306,002.72 = 85,816.34 : x
  2. Step 2: Convert to fraction form
    204,209.72/306,002.72 = 85,816.34/x
  3. Step 3: Cross multiply
    204,209.72x = 306,002.72 × 85,816.34
  4. Step 4: Simplify right side
    204,209.72x = 26,260,033,460.44
  5. Step 5: Solve for x
    x = 26,260,033,460.44/204,209.72
  6. Step 6: Final answer
    x = 128,593.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.